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Finding the Third Proportional to 265,512 and 583,512

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Solution

The third proportional to 265,512 and 583,512 is: 1,282,376.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,512 : 583,512 = 583,512 : x
  2. Step 2: Convert to fraction form
    265,512/583,512 = 583,512/x
  3. Step 3: Cross multiply
    265,512x = 583,512 × 583,512
  4. Step 4: Simplify right side
    265,512x = 340,486,254,144
  5. Step 5: Solve for x
    x = 340,486,254,144/265,512
  6. Step 6: Final answer
    x = 1,282,376.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.